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Finding the Fourth Proportional to 925.60, 1,387.52 and 340.47

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Solution

The fourth proportional to 925.60, 1,387.52 and 340.47 is: 510.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.60 : 1,387.52 = 340.47 : x
  2. Step 2: Convert to fraction form
    925.60/1,387.52 = 340.47/x
  3. Step 3: Cross multiply
    925.60x = 1,387.52 × 340.47
  4. Step 4: Simplify right side
    925.60x = 472,400.29
  5. Step 5: Solve for x
    x = 472,400.29/925.60
  6. Step 6: Final answer
    x = 510.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.